This arrangement dates from a time long ago when some families, too aristocratic even to send their children to private schools, had tutors and governesses instead. Now, "Home schooling" has become anarchy. Since tutors disappeared, it was meant to allow parents to be personal teachers for their children at home, but now (mostly) religious schools have sprung up to save parents the trouble. Boys may spend almost every hour of their "school" day studying scripture, and end up with no skills needed by any employer. Girls may be taught cooking, cleaning and looking after Granny. This might be slightly more useful for some jobs, but not if the English language is omitted. Local councils have few obligations towards such children.
"Home schooling" is now a century out of date and should be immediately abolished. All normal healthy children should be registered with known reputable schools which must teach the whole curriculum with a view to producing integrated young adults fit for employment or further study.